easy

Problems involving Arithmetic Progressions - easy

Problem №1

Given the arithmetic progression $% a_1,a_2,a_3,...$ , for which $a_1=1$ and $d=a_2-a_1=4$ , find $a_8$ .

Problem №2

Let ${a_n}$ be an arithmetic progression, for which $a_1=15$ and $d=3$ . Find the sum of the first 10 elements.

Problem №3

Let ${a_n}$ be an arithmetic progression, for which $a_3=13$ and $a_{11}=25$ . Find $a_7$

Problem №4

Determine the difference of an arithmetic progression ${a_n}$ , if $a_5=18$ and $a_2=9$

Problem №5

Find the difference of the arithmetic progression ${a_n}$ if $a_1=5$ and $a_3=15$

Problem №6

Let ${a_n}$ be an arithmetic progression, for which $a_2=5$ and $a_1=-11$ . Find the progression's difference $d$ .

Problem №7

Let ${a_n}$ be an arithmetic progression, for which $a_1=1$ and $d=1$ . Find $a_{1083}$

Problem №8

Let $a_n$ be an arithmetic progression. If $a_1=15$ and $a_2=8$ , determine $a_{19}$ .

Problem №9

Let ${a_n}$ be an arithmetic progression, for which $d=12$ and $a_3=43$ . Find $a_1$

Problem №10

Let ${a_n}$ be an arithmetic progression. If $a_1=4$ and $a_2=7$ , determine $a_{11}$

Problem №11

Find the sum of the first 10 natural numbers.

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